495
495 is a odd composite number that follows 494 and precedes 496. It is composed of 12 distinct factors: 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. Its prime factorization can be written as 3^2 × 5 × 11. 495 is classified as a deficient number based on the sum of its proper divisors. In computer science, 495 is represented as 111101111 in binary and 1EF in hexadecimal. Historically, it is written as CDXCV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3^2 × 5 × 11) reveals 4 prime building blocks.
Divisible by 2
495 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 95 are not divisible by 4.
Divisible by 5
495 ends in 5, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
495 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 495 within several notable number theory sequences:
Timeline
Deep dive
How 495 breaks down
495 carries 12 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 441, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111101111 supports bitwise reasoning, hexadecimal 1EF aligns with computing notation, and the Roman numeral CDXCV keeps the encyclopedic tradition alive. These attributes make 495 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 495 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (490–500) to tune search ranges, and educators feature 495 in worksheets about factor trees. Its binary footprint of length 9 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 495 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 495
Is 495 a prime number?
495 is composite with 12 total factors and the prime factorization 3^2 × 5 × 11.
What is the prime factorization of 495?
It breaks down as 3^2 × 5 × 11, multiplying the primes 3 × 3 × 5 × 11.
How is 495 represented in binary and hexadecimal?
495 converts to 111101111 in binary and 1EF in hexadecimal, which are helpful for computer science applications.
Is 495 a perfect square, cube, or triangular number?
495 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 495?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.